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2112848928 = 253373139241
BaseRepresentation
bin111110111101111…
…1000010000100000
312110020200211212000
41331323320100200
513311342131203
6545353404000
7103233630261
oct17573702040
95406624760
102112848928
11994714743
124ab709600
13278969388
14160872968
15c57544a3
hex7def8420

2112848928 has 192 divisors, whose sum is σ = 6317942400. Its totient is φ = 686776320.

The previous prime is 2112848909. The next prime is 2112848929. The reversal of 2112848928 is 8298482112.

2112848928 is a `hidden beast` number, since 21 + 128 + 489 + 28 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2112848929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8766888 + ... + 8767128.

It is an arithmetic number, because the mean of its divisors is an integer number (32905950).

Almost surely, 22112848928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112848928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158971200).

2112848928 is an abundant number, since it is smaller than the sum of its proper divisors (4205093472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2112848928 is a wasteful number, since it uses less digits than its factorization.

2112848928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 458 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 2112848928 is about 45965.7364566260. The cubic root of 2112848928 is about 1283.1856133714.

The spelling of 2112848928 in words is "two billion, one hundred twelve million, eight hundred forty-eight thousand, nine hundred twenty-eight".